Respuesta :
Answer:
The probability that a randomly selected day in April will be rainy or windy is 0.62 or 62%.
Step-by-step explanation:
We are given that the probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%.
And we have to find the probability that a randomly selected day in April will be rainy or windy.
Let the probability of rain on any day in the month of April = P(A) = 0.34
The probability of windy on any day in the month of April = P(W) = 0.38
The probability of both windy and rainy on any day in the month of April = P(R [tex]\bigcap[/tex] W) = 0.10
Now, the probability that a randomly selected day in April will be rainy or windy is given by = P(R [tex]\bigcup[/tex] W)
P(R [tex]\bigcup[/tex] W) = P(R) + P(W) - P(R [tex]\bigcap[/tex] W)
= 0.34 + 0.38 - 0.10
= 0.62 or 62%
So, the probability that a randomly selected day in April will be rainy or windy is 62%.
